New Polynomial Decategorifications of the Quandle Coloring Quiver

Anusha Kabra; Sam Nelson

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arXiv · 2504.14387

New Polynomial Decategorifications of the Quandle Coloring Quiver

Anusha Kabra·Sam Nelson

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Abstract

We introduce two new families of polynomial invariants of oriented classical and virtual knots and links defined as decategorfications of the quandle coloring quiver. We provide examples to illustrate the computation of the invariants, show that they are not determined by the quandle counting invariant, and compute tables of invariants values for some small quandles.

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Anusha Kabra, Sam Nelson. 2025-04-19. New Polynomial Decategorifications of the Quandle Coloring Quiver. https://arxiv.org/abs/2504.14387

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